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Finding the Fourth Proportional to 1,922.94, 2,653.79 and 1,072.29

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Solution

The fourth proportional to 1,922.94, 2,653.79 and 1,072.29 is: 1,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.94 : 2,653.79 = 1,072.29 : x
  2. Step 2: Convert to fraction form
    1,922.94/2,653.79 = 1,072.29/x
  3. Step 3: Cross multiply
    1,922.94x = 2,653.79 × 1,072.29
  4. Step 4: Simplify right side
    1,922.94x = 2,845,636.35
  5. Step 5: Solve for x
    x = 2,845,636.35/1,922.94
  6. Step 6: Final answer
    x = 1,479.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.